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Finding the Fourth Proportional to 12,885.87, 19,303.19 and 8,490

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Solution

The fourth proportional to 12,885.87, 19,303.19 and 8,490 is: 12,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.87 : 19,303.19 = 8,490 : x
  2. Step 2: Convert to fraction form
    12,885.87/19,303.19 = 8,490/x
  3. Step 3: Cross multiply
    12,885.87x = 19,303.19 × 8,490
  4. Step 4: Simplify right side
    12,885.87x = 163,884,083.10
  5. Step 5: Solve for x
    x = 163,884,083.10/12,885.87
  6. Step 6: Final answer
    x = 12,718.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.